Claims of Easter being pagan originated with pagans themselves and secularists who detest the truth of the gospel. The earth is the Lord's and the fullness thereof. No mere man has the power to make a day that God created corrupt. Christians who dogmatically condemn the celebration are guilty of making category errors and oversimplifications. No sacrifices or homage is given to false gods in the process. The English term Easter comes from the Old German word "erstehen", which means coming back to life. It does not pertain to the celebration of anything pagan.
The form of compromise Scripture condemns is that which hinders service or allegiance rightfully belonging to God alone. There comes a point when separation no longer resembles a desire to grow in sanctification but a religious recluse. The latter is not the way God wants us to thrive. If we were to be absolutely disconnected from the world, then He would have to remove us at this very instant. We are to be in the world (to preach the gospel, etc.), but not of it. We are to engage the culture with our beliefs, but lovingly stand firm in so doing.
Even the act of painting eggs or the idea of imaginary rabbits are nothing more than childish means of entertainment. Such is not inherently involved or related to the worship of false gods. Admittedly, fun is not (or should not be) the motivation behind celebrating Easter.
Whether or not a Christian chooses to observe Easter is entirely a matter of conscience or personal preference. It is not meant to be a test of orthodoxy. It is not a matter to break fellowship over. The Apostle Paul said the following about matters such as these:
"One person regards one day above another, another regards every day alike. Each person must be fully convinced in his own mind. He who observes the day, observes it for the Lord, and he who eats, does so for the Lord, for he gives thanks to God; and he who eats not, for the Lord he does not eat, and gives thanks to God...Therefore let us not judge one another anymore, but rather determine this—not to put an obstacle or a stumbling block in a brother’s way" (Romans 14:5-6; 13).